Search a number
-
+
220130133000 = 23353118162131
BaseRepresentation
bin1100110100000011000…
…1110100010000001000
3210001012020200101122220
43031000301310100020
512101311303224000
6245043144414040
721622013154261
oct3150061642010
9701166611586
10220130133000
11853a17a3058
12367b5177320
13179b195ac8b
14a92379d968
155ad58481a0
hex3340c74408

220130133000 has 128 divisors (see below), whose sum is σ = 687398624640. Its totient is φ = 58650720000.

The previous prime is 220130132921. The next prime is 220130133011. The reversal of 220130133000 is 331031022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3511935 + ... + 3574065.

It is an arithmetic number, because the mean of its divisors is an integer number (5370301755).

Almost surely, 2220130133000 is an apocalyptic number.

220130133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220130133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699312320).

220130133000 is an abundant number, since it is smaller than the sum of its proper divisors (467268491640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220130133000 is a wasteful number, since it uses less digits than its factorization.

220130133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63336 (or 63322 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 220130133000 its reverse (331031022), we get a palindrome (220461164022).

The spelling of 220130133000 in words is "two hundred twenty billion, one hundred thirty million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1181 1500 2362 3000 3543 4724 5905 7086 9448 11810 14172 17715 23620 28344 29525 35430 47240 59050 62131 70860 88575 118100 124262 141720 147625 177150 186393 236200 248524 295250 310655 354300 372786 442875 497048 590500 621310 708600 745572 885750 931965 1181000 1242620 1491144 1553275 1771500 1863930 2485240 3106550 3543000 3727860 4659825 6213100 7455720 7766375 9319650 12426200 15532750 18639300 23299125 31065500 37278600 46598250 62131000 73376711 93196500 146753422 186393000 220130133 293506844 366883555 440260266 587013688 733767110 880520532 1100650665 1467534220 1761041064 1834417775 2201301330 2935068440 3668835550 4402602660 5503253325 7337671100 8805205320 9172088875 11006506650 14675342200 18344177750 22013013300 27516266625 36688355500 44026026600 55032533250 73376711000 110065066500 220130133000